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Finding the Third Proportional to 129,853.13 and 283,520.25

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Solution

The third proportional to 129,853.13 and 283,520.25 is: 619,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853.13 : 283,520.25 = 283,520.25 : x
  2. Step 2: Convert to fraction form
    129,853.13/283,520.25 = 283,520.25/x
  3. Step 3: Cross multiply
    129,853.13x = 283,520.25 × 283,520.25
  4. Step 4: Simplify right side
    129,853.13x = 80,383,732,160.06
  5. Step 5: Solve for x
    x = 80,383,732,160.06/129,853.13
  6. Step 6: Final answer
    x = 619,035.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.